| 二阶精度半隐式半拉格朗日轨迹计算和时间积分方案在GRAPES区域模式中的应用 |
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| 引用本文： | 张旭,黄伟,陈葆德.二阶精度半隐式半拉格朗日轨迹计算和时间积分方案在GRAPES区域模式中的应用[J].气象学报,2015,73(3):557-565. |
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| 作者姓名： | 张旭 黄伟 陈葆德 |
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| 作者单位： | 中国气象局台风数值预报重点实验室, 上海, 200030;中国气象局上海台风研究所, 上海, 200030,中国气象局台风数值预报重点实验室, 上海, 200030;中国气象局上海台风研究所, 上海, 200030,中国气象局台风数值预报重点实验室, 上海, 200030;中国气象局上海台风研究所, 上海, 200030 |
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| 基金项目： | 国家公益性行业(气象)科研专项(GYHY201206006)。 |
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| 摘 要： | 将两时间层稳定外插方案(Stable Extrapolation Two-Time-Level Scheme,SETTLS)引入GRAPES区域模式,并将其用于上游点和非线性项的时间外插计算。对线性项采用二阶精度的非中央权重时间平均,并取等温参考大气的温度大于实际大气平均温度,以保证半隐式积分方案的稳定性。原GRAPES时间积分方案对线性项做一阶非中央权重时间平均,对参考大气的选择并无限制,而为保证稳定性,须取较大的非中央权重系数,但非中央权重系数会对低波数波动产生较强的衰减作用。理想试验结果表明,相比原GRAPES半隐式半拉格朗日(SISL)时间积分方案,新SISL时间积分方案计算稳定且对波动的衰减作用较弱。
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| 关 键 词： | 两时间层稳定外插方案(SETTLS) 半隐式半拉格朗日(SISL)时间积分 上游点计算 衰减作用 参考大气温度 |
| 收稿时间： | 2014/4/10 0:00:00 |
| 修稿时间： | 2014/12/4 0:00:00 |
Implementation of a 2nd order semi-implicit semi-Lagrangian trajectory algorithm and time integration scheme in the GRAPES regional model |
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| ZHANG Xu,HUANG Wei and CHEN Baode.Implementation of a 2nd order semi-implicit semi-Lagrangian trajectory algorithm and time integration scheme in the GRAPES regional model[J].Acta Meteorologica Sinica,2015,73(3):557-565. |
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| Authors: | ZHANG Xu HUANG Wei and CHEN Baode |
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| Institution: | Key Laboratory of Numerical Modeling for Tropical Cyclone, China Meteorological Administration, Shanghai 200030, China;Shanghai Typhoon Institute of China Meteorological Administration, Shanghai 200030, China,Key Laboratory of Numerical Modeling for Tropical Cyclone, China Meteorological Administration, Shanghai 200030, China;Shanghai Typhoon Institute of China Meteorological Administration, Shanghai 200030, China and Key Laboratory of Numerical Modeling for Tropical Cyclone, China Meteorological Administration, Shanghai 200030, China;Shanghai Typhoon Institute of China Meteorological Administration, Shanghai 200030, China |
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| Abstract: | The Stable Extrapolation Two-Time-Level Scheme (SETTLS) has been implemented in the GRAPES regional model to determine the trajectory and nonlinear terms. To make the scheme stable, selecting a relatively warm reference temperature is necessary. The first-order decentered averaging of the linear terms of the previous version of the GRAPES relaxes the restriction of a relatively warm reference temperature but its large weight results in a significant damping for the low-wavenumber modes. Therefore, a second-order accuracy decentering of the linear terms and warmer reference temperature are applied in the GRAPES model. The results from the ideal experiments show that the new semi-implicit semi-Lagrangian scheme is stable and leads to much less damping than the original time integration scheme. |
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| Keywords: | Stable Extrapolation Two-Time-Level Scheme (SETTLS) Semi-implicit semi-Lagrangian (SISL) time integration Departure point calculation Damping effect Reference atmosphere temperature |
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